Finite Group Databasebeta

← #29482226

Subgroups — #29482226

Order 15104.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438655C211yesmaximal, characteristic, complemented
2#21438115C211yesmaximal, characteristic, complemented
3#21437120C211yesmaximal, characteristic, complemented
4#21437113C211yesmaximal, characteristic, complemented
5#21436927C211yesmaximal, characteristic, complemented
6#21436924C211yesmaximal, characteristic, complemented
7#21436286C211yesmaximal, characteristic, complemented
8#21436277C211yesmaximal, characteristic, complemented
9#21436273C211yesmaximal, characteristic, complemented
10#21436269C211yesmaximal, characteristic, complemented
11#21435950C211yesmaximal, characteristic, complemented
12#21435946C211yesmaximal, characteristic, complemented
13#21435790C211yesmaximal, characteristic, complemented
14D4×#11745670C211yesmaximal, characteristic, complemented
15#21435595C211yesmaximal, characteristic, complemented
16#21435585C211yesmaximal, characteristic, complemented
17#21435576C211yesmaximal, characteristic, complemented
18#21435508C211yesmaximal, characteristic, complemented
19#21435503C211yesmaximal, characteristic, complemented
20#21435407C211yesmaximal, characteristic, complemented
21#21435155C211yesmaximal, characteristic, complemented
22#21435152C211yesmaximal, characteristic, complemented
23#21435080C211yesmaximal, characteristic, complemented
24#21434278C211yesmaximal, characteristic, complemented
25#21434273C211yesmaximal, characteristic, complemented
26#21434190C211yesmaximal, characteristic, complemented
27#21433610C211yesmaximal, characteristic, complemented
28#21433606C211yesmaximal, characteristic, complemented
29C2×#16837615C211yesmaximal, characteristic, complemented
30#21433236C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic
33C22×#11745670C2211yescharacteristic
34C22×#11745670C2211yescharacteristic, complemented
35C2×SD16×D59C2211yescharacteristic, complemented
36#16838155—21no—
37#16838147—21no—
38#16838122C2211yescharacteristic, complemented
39#16838121C2211yescharacteristic, complemented
40#16838116C2211yescharacteristic, complemented
41#16838111C2211yescharacteristic, complemented
42#16838104C2211yescharacteristic
43#16838098C2211yescharacteristic
44#16838095—21no—
45#16838083—21no—
46#16838078—21no—
47#16838072C2211yescharacteristic, complemented
48D4×Dic118C2211yescharacteristic, complemented
49#16838065C2211yescharacteristic, complemented
50#16838059C2211yescharacteristic, complemented
51#16838058C2211yescharacteristic, complemented
52#16838046—21no—
53#16838046C2211yescharacteristic, complemented
54#16838039—21no—
55#16838039—21no—
56D4×C22⋊D59C2211yescharacteristic
57D4×C22⋊D59C2211yescharacteristic, complemented
58#16838028—21no—
59#16838020—21no—
60#16838019—21no—
61#16838019C2211yescharacteristic, complemented
62#16838017C2211yescharacteristic, complemented
63#16838006C2211yescharacteristic, complemented
64#16838005C2211yescharacteristic, complemented
65#16837989—21no—
66#16837987—21no—
67#16837987—21no—
68#16837973C2211yescharacteristic, complemented
69#16837972C2211yescharacteristic, complemented
70#16837954C2211yescharacteristic, complemented
71#16837947C2211yescharacteristic
72#16837932C2211yescharacteristic
73C2×#14273714C2211yescharacteristic, complemented
74#16837908—21no—
75C2×#14273699—21no—
76#16837877C2211yescharacteristic, complemented
77#16837874C2211yescharacteristic, complemented
78C2×D4×Dic59C2211yescharacteristic
79#16837790C2211yescharacteristic, complemented
80#16837790C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837774C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837771C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837756C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837744C2211yescharacteristic, complemented
92#16837738C2211yescharacteristic, complemented
93#16837735C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837712C2211yescharacteristic, complemented
97#16837710C2211yescharacteristic, complemented
98#16837702C2211yescharacteristic, complemented
99#16837700C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837686C2211yescharacteristic, complemented
103#16837685C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837652C2211yescharacteristic, complemented
107#16837648C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837636C2211yescharacteristic, complemented
110#16837635C2211yescharacteristic, complemented
111#16837633C2211yescharacteristic, complemented
112#16837631C2211yescharacteristic, complemented
113#16837630C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837629C2211yescharacteristic, complemented
116#16837616C2211yescharacteristic, complemented
117#16837616C2211yescharacteristic, complemented
118#16837615C2211yescharacteristic
119#16837615C2211yescharacteristic
120#16837615C2211yescharacteristic
121#16837615C2211yescharacteristic
122#16837615C2211yescharacteristic
123#16837615C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837614C2211yescharacteristic, complemented
131#16837608C2211yescharacteristic, complemented
132#16837607C2211yescharacteristic, complemented
133#16837606C2211yescharacteristic, complemented
134#16837605C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837605C2211yescharacteristic, complemented
138#16837605C2211yescharacteristic, complemented
139#16837601C2211yescharacteristic, complemented
140#16837601C2211yescharacteristic, complemented
141#16837600C2211yescharacteristic, complemented
142#16837599C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837554C2211yescharacteristic, complemented
145#16837553C2211yescharacteristic
146#16837553C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837544C2211yescharacteristic, complemented
150#16837543C2211yescharacteristic, complemented
151#16837543C2211yescharacteristic, complemented
152#16837540C2211yescharacteristic, complemented
153#16837540C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic
158#16837530C2211yescharacteristic, complemented
159#16837529C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic
161#16837504C2211yescharacteristic, complemented
162#16837503C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168C4×#11745670C2211yescharacteristic, complemented
169D8×Dic59C2211yescharacteristic, complemented
170C4×#11745669C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174D4×C59⋊C8C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837456C2211yescharacteristic, complemented
179#16837430C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181C2×Dic59⋊C8C2211yescharacteristic, complemented
182#16837412C2211yescharacteristic, complemented
183#16837409C2211yescharacteristic, complemented
184#16837398C2211yescharacteristic, complemented
185#16837395C2211yescharacteristic, complemented
186C2×#14273652C2211yescharacteristic, complemented
187C2×#14273648C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C22×D8×C59C2211yescharacteristic
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic, complemented
193C59×#469C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic
196C59×#459C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic
198C59×#449C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic
200C59×#447C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic
202C59×#435C2211yescharacteristic, complemented
203C2×#11745687—21no—
204C2×#11745687—21no—
205C2×#11745687C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×C22⋊D59—21no—
210C22×C22⋊D59—21no—
211C2×D4×D59C2311yescharacteristic
212C23×Dic59—21no—
213#14273751—42no—
214C2×#11745660C2311yescharacteristic
215C2×#11745660C2311yescharacteristic
216C2×#11745660C2311yescharacteristic
217C2×#11745670—42no—
218C2×#11745670—42no—
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229SD16×D59—42no—
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745659C2311yescharacteristic
233C22×C59⋊C8C2311yescharacteristic
234C22×C59⋊C8C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236#14273727C2311yescharacteristic
237#14273726—21no—
238#14273726—21no—
239#14273726C2311yescharacteristic
240#14273726C2311yescharacteristic
241#14273725C2311yescharacteristic
242#14273725C2311yescharacteristic
243#14273723C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273722—21no—
246#14273722D411yescharacteristic
247#14273720—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273720—21no—
252#14273720—21no—
253#14273720—21no—
254#14273720D411yescharacteristic
255#14273719C2311yescharacteristic
256#14273718C2311yescharacteristic
257#14273717—21no—
258#14273717D411yescharacteristic
259#14273714—21no—
260#14273714—21no—
261#14273714—21no—
262#14273714—21no—
263#14273714—21no—
264#14273714C2311yescharacteristic
265#14273714C2311yescharacteristic
266#14273714C2311yescharacteristic
267#14273714C2311yescharacteristic
268#14273714C2311yescharacteristic
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713D411yescharacteristic
274#14273711—21no—
275#14273711—21no—
276#14273711D411yescharacteristic
277#14273710—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273708—21no—
283#14273708—21no—
284#14273708—21no—
285#14273708—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708D411yescharacteristic
289#14273707C2311yescharacteristic
290#14273706—21no—
291#14273706—21no—
292#14273706—21no—
293#14273706—21no—
294#14273706—21no—
295#14273706—21no—
296#14273706C2311yescharacteristic
297#14273706C2311yescharacteristic
298#14273705—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704—21no—
310#14273704D411yescharacteristic
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699D411yescharacteristic
327#14273698—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273696—21no—
334#14273696—21no—
335#14273696—21no—
336#14273695—21no—
337#14273695—21no—
338Q8×Dic59C2311yescharacteristic
339C4×Dic118C2311yescharacteristic
340C4×Dic118C2311yescharacteristic
341#14273692—21no—
342#14273692C2311yescharacteristic
343#14273692C2311yescharacteristic
344C4×D236C2311yescharacteristic
345D4×Dic59—21no—
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59—21no—
351D4×Dic59—21no—
352D4×Dic59C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359D4×Dic59C2311yescharacteristic
360#14273689C2311yescharacteristic
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59C2311yescharacteristic
364C4×C22⋊D59C2311yescharacteristic
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369#14273686—21no—
370#14273686C2311yescharacteristic
371#14273686C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273684C2311yescharacteristic
374#14273683—21no—
375#14273683—21no—
376#14273683—21no—
377C2×C4⋊Dic59C2311yescharacteristic
378C2×Dic59⋊C4—21no—
379C2×C22⋊Dic59—21no—
380C2×C22⋊Dic59—21no—
381C2×C22⋊Dic59—21no—
382C2×C22⋊Dic59—21no—
383C2×C22⋊Dic59—21no—
384C2×C22⋊Dic59—21no—
385C2×(C2×D59)⋊C4—21no—
386C22⋊C4×D59—21no—
387C2×C4×Dic59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×D4×C59—21no—
441C22×D4×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444AGL(1,ℤ/8)×C59—42no—
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59—42no—
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456C22×C8×C59C2311yescharacteristic
457#127×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59—21no—
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#120×C59—21no—
467#120×C59—21no—
468#120×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#106×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C24×C59—21no—
487C23×D59—21no—
488#41×C59—41no—
489#41×C59—41no—
490C2×Q8×C59C2411yescharacteristic
491C2×D4×C59—22no—
492C2×D4×C59—22no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59—41no—
506C2×D4×C59—82no—
507C2×D4×C59C2×D411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—82no—
530C2×C22⋊D59—82no—
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—82no—
546C22×Dic59C2×D411yescharacteristic
547C22×Dic59C2×D411yescharacteristic
548Q8×D59—41no—
549Q8×D59—41no—
550#11745687—41no—
551#11745687—41no—
552#11745687—82no—
553#11745687—82no—
554D4×D59—22no—
555D4×D59—41no—
556C2×D236C2411yescharacteristic
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59C2411yescharacteristic
561C2×Dic118—21no—
562C2×Dic118—21no—
563C2×Dic118—21no—
564C2×Dic118—21no—
565C2×Dic118—21no—
566C2×Dic118—41no—
567C2×Dic118—41no—
568C2×Dic118—41no—
569C2×Dic118—41no—
570C2×Dic118C2×D411yescharacteristic
571C2×Dic118C2411yescharacteristic
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574SD16×C59—22no—
575SD16×C59—41no—
576SD16×C59—41no—
577D8×C59—22no—
578D8×C59—22no—
579D8×C59—41no—
580D8×C59—41no—
581D8×C59—41no—
582D8×C59—41no—
583M16×C59—41no—
584C2×C8×C59—41no—
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C4⋊C4×C59—21no—
590C4⋊C4×C59C2×D411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C42×C59C2411yescharacteristic
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59C2×D411yescharacteristic
629C22⋊Dic59C2×D411yescharacteristic
630C22⋊Dic59C2×D411yescharacteristic
631C22⋊Dic59C2×D411yescharacteristic
632#11745671—41no—
633#11745670—22no—
634#11745670—22no—
635#11745670—22no—
636#11745670—41no—
637#11745670—41no—
638#11745670—41no—
639#11745670—41no—
640#11745670—41no—
641#11745670—41no—
642#11745669—41no—
643#11745669—41no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59C2×D411yescharacteristic
661C4⋊Dic59C2×D411yescharacteristic
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686Dic59⋊C4C2×D411yescharacteristic
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C4×Dic59C2411yescharacteristic
698C2×C59⋊C8—41no—
699C2×C59⋊C8—41no—
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704#11745660—41no—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—42no—
715C23×C59—42no—
716C23×C59—42no—
717C23×C59—42no—
718C23×C59—81no—
719C23×C59—81no—
720C23×C59—81no—
721C23×C59—81no—
722C23×C59—81no—
723C23×C59C22×D411yescharacteristic
724C23×C59C22×D411yescharacteristic
725C22×D59—21no—
726C22×D59—42no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732D4×C59—22no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—42no—
743D4×C59—42no—
744D4×C59—42no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59H(5,𝔽2)12yes—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—81no—
760C2×C4×C59—81no—
761C2×C4×C59—81no—
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C2511yescharacteristic
767C22⋊D59—22no—
768C22⋊D59—41no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C2×Dic59—22no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—41no—
789C2×Dic59—42no—
790C2×Dic59—42no—
791C2×Dic59—81no—
792C2×Dic59—81no—
793C2×Dic59—81no—
794C2×Dic59—81no—
795C2×Dic59—81no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59—81no—
800C2×Dic59—81no—
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808D236—21no—
809D236—21no—
810C4×D59—21no—
811C4×D59—21no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815Dic118—21no—
816Dic118—21no—
817Dic118—21no—
818Dic118—21no—
819Dic118—21no—
820Dic118—21no—
821Dic118—41no—
822Dic118—81no—
823Dic118—81no—
824Dic118—81no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#62016—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—21no—
840C22×C59—22no—
841C22×C59—21no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—84no—
857C22×C59—162no—
858C22×C59—162no—
859C22×C59#57712yes—
860C22×C59C23×D411yescharacteristic
861C2×D59—21no—
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—162no—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59C2×H(5,𝔽2)11yescharacteristic
876C4×C59#58511yescharacteristic
877Dic59—21no—
878Dic59—21no—
879Dic59—21no—
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—41no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3561—591no—
892#3519—591no—
893#3397—591no—
894#3397—591no—
895#3376—591no—
896#3376—591no—
897#3321—591no—
898#3321—591no—
899#3320—591no—
900#3320—591no—
901#3297—591no—
902#3297—591no—
903D4×SD16—591no—
904D4×SD16—591no—
905#3265—591no—
906#3265—591no—
907#3264—591no—
908#3264D5911yescharacteristic, complemented
909#3257—591no—
910#3257—591no—
911#3246—591no—
912#3221—591no—
913#3221—591no—
914#3213—591no—
915#3118—591no—
916#3118—591no—
917#3110—591no—
918#3042—591no—
919#3042—591no—
920C2×#463—591no—
921#2992—591no—
922C2×C59—22no—
923C2×C59—42no—
924C2×C59—41no—
925C2×C59—81no—
926C2×C59—81no—
927C2×C59—81no—
928C2×C59—81no—
929C2×C59#348811yescharacteristic
930C2×C59C2×#57711yescharacteristic
931C2×C59#358511yescharacteristic
932D59—41no—
933D59—81no—
934C2×AGL(1,ℤ/8)—591no—
935C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
936C22×SD16—591no—
937C22×SD16—591no—
938C22×SD16—591no—
939C22×D8C2×D5911yescharacteristic
940#563—1181no—
941#562—1181no—
942#556—591no—
943#556—591no—
944#555—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#550—591no—
952D4×Q8—591no—
953D4×Q8—591no—
954#548—591no—
955#548—591no—
956#546—591no—
957#546—1181no—
958#546—1181no—
959#546—1181no—
960#546C2×D5911yescharacteristic, complemented
961D42—591no—
962D42—591no—
963D42C2×D5911yescharacteristic
964#543—1181no—
965#542—591no—
966#542—591no—
967#542—1181no—
968#542—1181no—
969#540—591no—
970#540—591no—
971#538—1181no—
972#538—1181no—
973#538—1181no—
974#536—591no—
975#536—591no—
976#533—591no—
977#532—591no—
978#529—591no—
979C2×#124—591no—
980#525—1181no—
981C2×#121—1181no—
982#518—591no—
983#518—591no—
984C2×C4×D4—591no—
985#496—591no—
986#496—591no—
987#496—591no—
988#496C2×D5911yescharacteristic, complemented
989#492—591no—
990#492—591no—
991#491—591no—
992#491—591no—
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#485—591no—
999#484—591no—
1000#484—591no—
1001#482—591no—
1002#482—591no—
1003#479—591no—
1004#479—591no—
1005#478—591no—
1006#478—591no—
1007#476—591no—
1008#476—591no—
1009#475—591no—
1010#475—591no—
1011#474—591no—
1012#474—591no—
1013#469—591no—
1014#469C2×D5911yescharacteristic, complemented
1015#468—591no—
1016#468—591no—
1017#466—591no—
1018#466—591no—
1019#465—591no—
1020#465—591no—
1021#465—591no—
1022#465—591no—
1023#465—591no—
1024#465C2×D5911yescharacteristic, complemented
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463C2×D5911yescharacteristic
1041#461—591no—
1042#461—591no—
1043#461—591no—
1044#461—591no—
1045#461—591no—
1046#461—591no—
1047#461—591no—
1048#461—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#459—591no—
1054#459C2×D5911yescharacteristic, complemented
1055#450—591no—
1056#450—591no—
1057#450—591no—
1058#450C2×D5911yescharacteristic
1059#449—591no—
1060#449—591no—
1061#449—591no—
1062#449C2×D5911yescharacteristic, complemented
1063#448—591no—
1064#448—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#448—591no—
1069#447—591no—
1070#447—591no—
1071#447C2×D5911yescharacteristic
1072#447C2×D5911yescharacteristic, complemented
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442C2×D5911yescharacteristic
1077#440—591no—
1078#440—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440—591no—
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8—591no—
1087#435—591no—
1088#435—591no—
1089#435—591no—
1090#435C2×D5911yescharacteristic, complemented
1091C8×D4—591no—
1092C8×D4—591no—
1093#433—591no—
1094#433—591no—
1095#432—591no—
1096#424—591no—
1097#424—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#419—591no—
1101#416—591no—
1102#416—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6201611yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—1181no—
1108C2×#41—1181no—
1109C2×#41C22×D5911yescharacteristic
1110C22×Q8—591no—
1111C22×Q8—591no—
1112C22×Q8—591no—
1113C22×D4—21no—
1114C22×D4—591no—
1115C22×D4—1181no—
1116C22×D4—1181no—
1117C22×D4C22×D5911yescharacteristic
1118C22×D4C22×D5911yescharacteristic
1119C22×D4C22×D5911yescharacteristic
1120C23×C4—1181no—
1121AGL(1,ℤ/8)—42no—
1122AGL(1,ℤ/8)—2362no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—2362no—
1137C2×SD16—2362no—
1138C2×SD16—2362no—
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×SD16C22×D5911yescharacteristic
1142C2×D8—42no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8C22×D5911yescharacteristic
1146C2×D8C22×D5911yescharacteristic
1147C2×D8C22×D5911yescharacteristic
1148C2×D8C22×D5911yescharacteristic
1149C2×D8C22×D5911yescharacteristic
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16C22×D5911yescharacteristic
1153C22×C8—591no—
1154C22×C8—591no—
1155C22×C8—591no—
1156C22×C8C22×D5911yescharacteristic
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—591no—
1160C4⋊Q8—591no—
1161C4⋊Q8—591no—
1162C4⋊Q8—1181no—
1163C4⋊Q8—1181no—
1164#127—591no—
1165#127—591no—
1166#127C22×D5911yescharacteristic
1167#126—591no—
1168#126—591no—
1169#126—1181no—
1170#126—1181no—
1171#126—1181no—
1172#126—1181no—
1173#126—1181no—
1174#126—1181no—
1175#126—1181no—
1176#126—1181no—
1177#125—591no—
1178#125—591no—
1179#125—591no—
1180#125—1181no—
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—591no—
1185#124—591no—
1186#124—591no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#124—1181no—
1194#124—1181no—
1195#124—1181no—
1196#124C22×D5911yescharacteristic
1197#123—21no—
1198#123—591no—
1199#123—591no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213C22⋊Q8—591no—
1214C22⋊Q8—591no—
1215C22⋊Q8—591no—
1216C22⋊Q8—591no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8C22×D5911yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121C22×D5911yescharacteristic
1261#121C22×D5911yescharacteristic
1262#121C22×D5911yescharacteristic
1263#120—21no—
1264#120—21no—
1265#120—21no—
1266#120—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271C4×Q8—591no—
1272C4×Q8—591no—
1273C4×Q8—591no—
1274C4×Q8—591no—
1275C4×Q8—591no—
1276C4×Q8—1181no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—591no—
1281C4×D4—591no—
1282C4×D4—591no—
1283C4×D4—591no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304C4×D4C22×D5911yescharacteristic
1305#117—591no—
1306#117—591no—
1307#117—591no—
1308#117—591no—
1309#117—1181no—
1310#117—1181no—
1311#117—1181no—
1312#117—1181no—
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—1181no—
1315C2×C22⋊C4—21no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107—591no—
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106C22×D5911yescharacteristic
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8—591no—
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103C22×D5911yescharacteristic
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102C22×D5911yescharacteristic
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8C22×D5911yescharacteristic
1380C22⋊C8C22×D5911yescharacteristic
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97C22×D5911yescharacteristic
1385C4×C8—591no—
1386C4×C8—591no—
1387C24—21no—
1388C24—21no—
1389C24—21no—
1390C24—1181no—
1391#41—41no—
1392#41—41no—
1393#41—4722no—
1394#41—4722no—
1395#41—2361no—
1396#41—2361no—
1397C2×Q8—591no—
1398C2×Q8—591no—
1399C2×Q8—591no—
1400C2×Q8—591no—
1401C2×Q8—1181no—
1402C2×Q8—1181no—
1403C2×Q8—1181no—
1404C2×Q8—1181no—
1405C2×Q8—1181no—
1406C2×Q8—2361no—
1407C2×Q8—2361no—
1408C2×Q8—2361no—
1409C2×Q8—2361no—
1410C2×Q8—2361no—
1411C2×Q8—2361no—
1412C2×Q8C23×D5911yescharacteristic
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—82no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—591no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1182no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—4722no—
1445C2×D4—4722no—
1446C2×D4—2361no—
1447C2×D4D4×D5911yescharacteristic
1448C2×D4C23×D5911yescharacteristic
1449C2×D4C23×D5911yescharacteristic
1450C2×D4C23×D5911yescharacteristic
1451C2×D4C23×D5911yescharacteristic
1452C2×D4C23×D5911yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—4722no—
1475C22×C4C23×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477SD16—22no—
1478SD16—41no—
1479SD16—41no—
1480SD16—1182no—
1481SD16—1182no—
1482SD16—1182no—
1483SD16—2361no—
1484SD16—2361no—
1485SD16—2361no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492SD16—2361no—
1493D8—22no—
1494D8—22no—
1495D8—41no—
1496D8—41no—
1497D8—41no—
1498D8—41no—
1499D8—2361no—
1500D8—2361no—
1501M16—41no—
1502M16—2361no—
1503C2×C8—41no—
1504C2×C8—591no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—2361no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—591no—
1517C4⋊C4—591no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4D4×D5911yescharacteristic
1550C4⋊C4C23×D5911yescharacteristic
1551C4⋊C4C23×D5911yescharacteristic
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—591no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—591no—
1567C22⋊C4—591no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4D4×D5911yescharacteristic
1599C22⋊C4D4×D5911yescharacteristic
1600C42—591no—
1601C42—591no—
1602C42—591no—
1603C42—591no—
1604C42—591no—
1605C42—1181no—
1606C42—1181no—
1607C42—1181no—
1608C42—1181no—
1609C42—1181no—
1610C42—1181no—
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—42no—
1618C23—42no—
1619C23—42no—
1620C23—42no—
1621C23—81no—
1622C23—81no—
1623C23—81no—
1624C23—81no—
1625C23—81no—
1626C23—591no—
1627C23—1181no—
1628C23—4721no—
1629C23—4721no—
1630C23—2362no—
1631C23C2×D4×D5911yescharacteristic
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—1181no—
1636Q8—1181no—
1637Q8—1181no—
1638Q8—1181no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—4721no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—4721no—
1645Q8—4721no—
1646Q8—2361no—
1647D4—22no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—42no—
1658D4—42no—
1659D4—42no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—1182no—
1667D4—1181no—
1668D4—1181no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—2361no—
1678D4—2362no—
1679D4—2362no—
1680D4—2362no—
1681D4#1427377212yes—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—591no—
1693C2×C4—591no—
1694C2×C4—591no—
1695C2×C4—591no—
1696C2×C4—591no—
1697C2×C4—591no—
1698C2×C4—591no—
1699C2×C4—1182no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—4721no—
1718C2×C4—4721no—
1719C2×C4—4721no—
1720C2×C4—4721no—
1721C2×C4—4721no—
1722C2×C4—2361no—
1723C2×C4—2362no—
1724C2×C4—2362no—
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—22no—
1742C22—21no—
1743C22—21no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—84no—
1759C22—162no—
1760C22—162no—
1761C22—1181no—
1762C22—1181no—
1763C22—1181no—
1764C22—9442no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22#1683821212yes—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—1181no—
1778C4—1181no—
1779C4—1181no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—2361no—
1785C4—2361no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4C2×#1427377211yescharacteristic
1792C4#1683823711yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—42no—
1796C2—81no—
1797C2—81no—
1798C2—81no—
1799C2—81no—
1800C2—4721no—
1801C2—2361no—
1802C2#2143775611yescharacteristic
1803C2C2×#1683821211yescharacteristic
1804C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#62016
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #21438655C2semidirect
2. #21438115C2semidirect
3. #21437120C2semidirect
4. #21437113C2semidirect
5. #21436927C2semidirect
6. #21436924C2semidirect
7. #21436286C2semidirect
8. #21436277C2semidirect
9. #21436273C2semidirect
10. #21436269C2semidirect
11. #21435950C2semidirect
12. #21435946C2semidirect
13. #21435790C2semidirect
14. D4×#11745670C2semidirect
15. #21435595C2semidirect
16. #21435585C2semidirect
17. #21435576C2semidirect
18. #21435508C2semidirect
19. #21435503C2semidirect
20. #21435407C2semidirect
21. #21435155C2semidirect
22. #21435152C2semidirect
23. #21435080C2semidirect
24. #21434278C2semidirect
25. #21434273C2semidirect
26. #21434190C2semidirect
27. #21433610C2semidirect
28. #21433606C2semidirect
29. C2×#16837615C2semidirect
30. #21433236C2semidirect
31. C59×#3264C2semidirect
34. C22×#11745670C22semidirect
35. C2×SD16×D59C22semidirect
38. #16838122C22semidirect
39. #16838121C22semidirect
40. #16838116C22semidirect
41. #16838111C22semidirect
47. #16838072C22semidirect
48. D4×Dic118C22semidirect
49. #16838065C22semidirect
50. #16838059C22semidirect
51. #16838058C22semidirect
53. #16838046C22semidirect
57. D4×C22⋊D59C22semidirect
61. #16838019C22semidirect
62. #16838017C22semidirect
63. #16838006C22semidirect
64. #16838005C22semidirect
68. #16837973C22semidirect
69. #16837972C22semidirect
70. #16837954C22semidirect
73. C2×#14273714C22semidirect
76. #16837877C22semidirect
77. #16837874C22semidirect
79. #16837790C22semidirect
80. #16837790C22semidirect
81. #16837790C22semidirect
82. #16837774C22semidirect
83. #16837773C22semidirect
84. #16837771C22semidirect
85. #16837769C22semidirect
86. #16837760C22semidirect
87. #16837760C22semidirect
88. #16837756C22semidirect
89. #16837755C22semidirect
90. #16837746C22semidirect
91. #16837744C22semidirect
92. #16837738C22semidirect
93. #16837735C22semidirect
94. #16837724C22semidirect
95. #16837723C22semidirect
96. #16837712C22semidirect
97. #16837710C22semidirect
98. #16837702C22semidirect
99. #16837700C22semidirect
100. #16837691C22semidirect
101. #16837690C22semidirect
102. #16837686C22semidirect
103. #16837685C22semidirect
104. #16837680C22semidirect
105. #16837680C22semidirect
106. #16837652C22semidirect
107. #16837648C22semidirect
108. #16837647C22semidirect
109. #16837636C22semidirect
110. #16837635C22semidirect
111. #16837633C22semidirect
112. #16837631C22semidirect
113. #16837630C22semidirect
114. #16837629C22semidirect
115. #16837629C22semidirect
116. #16837616C22semidirect
117. #16837616C22semidirect
123. #16837615C22semidirect
124. #16837615C22semidirect
125. #16837615C22semidirect
126. #16837615C22semidirect
127. #16837615C22semidirect
128. #16837615C22semidirect
129. #16837615C22semidirect
130. #16837614C22semidirect
131. #16837608C22semidirect
132. #16837607C22semidirect
133. #16837606C22semidirect
134. #16837605C22semidirect
135. #16837605C22semidirect
136. #16837605C22semidirect
137. #16837605C22semidirect
138. #16837605C22semidirect
139. #16837601C22semidirect
140. #16837601C22semidirect
141. #16837600C22semidirect
142. #16837599C22semidirect
143. #16837595C22semidirect
144. #16837554C22semidirect
146. #16837553C22semidirect
147. #16837547C22semidirect
148. #16837544C22semidirect
149. #16837544C22semidirect
150. #16837543C22semidirect
151. #16837543C22semidirect
152. #16837540C22semidirect
153. #16837540C22semidirect
154. #16837539C22semidirect
155. #16837539C22semidirect
156. #16837536C22semidirect
158. #16837530C22semidirect
159. #16837529C22semidirect
161. #16837504C22semidirect
162. #16837503C22semidirect
163. #16837503C22semidirect
164. #16837499C22semidirect
165. #16837499C22semidirect
166. #16837499C22semidirect
167. #16837493C22semidirect
168. C4×#11745670C22semidirect
169. D8×Dic59C22semidirect
170. C4×#11745669C22semidirect
171. #16837473C22semidirect
172. #16837471C22semidirect
173. #16837470C22semidirect
174. D4×C59⋊C8C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837464C22semidirect
177. #16837460C22semidirect
178. #16837456C22semidirect
179. #16837430C22semidirect
180. #16837427C22semidirect
181. C2×Dic59⋊C8C22semidirect
182. #16837412C22semidirect
183. #16837409C22semidirect
184. #16837398C22semidirect
185. #16837395C22semidirect
186. C2×#14273652C22semidirect
187. C2×#14273648C22semidirect
190. C59×#546C22semidirect
192. C59×#496C22semidirect
193. C59×#469C22semidirect
194. C59×#465C22semidirect
196. C59×#459C22semidirect
198. C59×#449C22semidirect
200. C59×#447C22semidirect
202. C59×#435C22semidirect
908. #3264D59semidirect
960. #546C2×D59semidirect
988. #496C2×D59semidirect
1014. #469C2×D59semidirect
1024. #465C2×D59semidirect
1054. #459C2×D59semidirect
1062. #449C2×D59semidirect
1072. #447C2×D59semidirect
1090. #435C2×D59semidirect
1105. C59#62016semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#214386552
#214381152
#214371202
#214371132
#214369272
#214369242
#214362862
#214362772
#214362732
#214362692
#214359502
#214359462
#214357902
D4×#117456702
#214355952
#214355852
#214355762
#214355082
#214355032
#214354072
#214351552
#214351522
#214350802
#214342782
#214342732
#214341902
#214336102
#214336062
C2×#168376152
#214332362
C59×#32642
#6201659